Results 81 to 90 of about 543,835 (181)

Privacy-preserving verifiable delegation of polynomial and matrix functions

Journal of Mathematical Cryptology, 2020
Outsourcing computation has gained significant popularity in recent years due to the development of cloud computing and mobile services. In a basic outsourcing model, a client delegates computation of a function f on an input x to a server. There are two
Zhang Liang Feng, Safavi-Naini Reihaneh
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A matrix approach to polynomials

Linear Algebra and its Applications, 2003
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Determinantal polynomials and the base polynomial of a square matrix over a finite field [PDF]

Arab Journal of Mathematical Sciences
Purpose – The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field.
Edoardo Ballico
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First Integrals and Invariants of Systems of Ordinary Differential Equations

Mathematics
We investigate the interplay between monomial first integrals, polynomial invariants of certain group action, and the Poincaré–Dulac normal forms for autonomous systems of ordinary differential equations with a diagonal matrix of the linear part.
Mateja Grašič, Abdul Salam Jarrah, Valery G. Romanovski   +2 more
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Extracting analytic singular values from a polynomial matrix

Science Talks
A matrix of transfer functions is, in most cases, known to admit an analytic singular value decomposition (SVD), with singular values that are real-valued but potentially negative on the unit circle.
Faizan A. Khattak, Mohammed Bakhit, Ian K. Proudler, Stephan Weiss   +3 more
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Matrix cyclization over complex polynomials

Linear Algebra and its Applications, 1998
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A Heuristic Method for Solving Polynomial Matrix Equations

Axioms
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander, Fernando Sánchez Lasheras   +1 more
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An Electromagnetic Load Identification Method Based on the Polynomial Structure Selection Technique

Shock and Vibration
Electromagnetic loads can effectively monitor motor health and improve motor design. Considering the weak correlation of the modal shape and Chebyshev orthogonal polynomial in the space-time independent electromagnetic load identification method, a ...
Wengui Mao, Shixiong Pei, Jie Guo, Jianhua Li, Buyao Wang   +4 more
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On matrix integration of matrix polynomials

Journal of Computational and Applied Mathematics, 2001
This paper proposes a general framework for the concept of integration, orthogonal polynomials and quadrature formulas for (in general, complex, but in some cases, real) matrix-valued functions. Starting from a reproducing kernel Hilbert space of positive definite forms, the author gives a sketchy proof of the abstract version of the solution of the ...
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A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
The Fibonacci polynomial Fn(x) defined recurrently by Fn+1(x) = xFn(x)+Fn−1(x), with F0(x) = 0, F1(0) = 1, for n ≥ 1 is the topic of wide interest for many years. In this article, generalized Fibonacci polynomials Fbn+1(x) and Lbn+1(x) are introduced and
A. D. Godase, M. B. Dhakne
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